Not exactly if you think about it. Whatever sales this fighter picks up would be their sales regardless. The US won't be offering F-35 to many airforces that become customers of this. Some can't afford to buy F-35, others aren't allowed to even touch it. With China, J-20 sure isn't for sale no matter how much some might think. J-XY (from FC-31 project) is a PLANAF fighter as far as we can tell and also sure isn't for sale. FC-31 is but there is a million miles gap between flying a shell prototype, finishing a complete fighter with all its systems ready and reliable, and actually producing the thing in numbers and under acceptable budgets!
FC-31 is the only real "alternative" and that would require the purchasing nation to pour in billions of their own funds to make the FC-31 into their xyz fighter. Korean KFX is the only other 5th gen that is remotely close to being ready for production and I have doubts it is available for export either since the engine is American and the Koreans are finalising Indonesia's partnership in that program. Too many fingers in that pie to make it a realistic export/import option that works out to everyone's approval.
So essentially countries shopping for a 5th gen have two choices, Su-57 now-ish or Checkmate whenever it is ready for purchase.